What dose it mean to say that the confidence interval methods of this section ar

Question

What dose it mean to say that the confidence interval methods of this section are robust departures from normality? A. The confidence interval methods of this section are robust against departures from normality, meaning they don't work well with distributions that aren't normal. B. The confidence interval methods of this section are robust against departures from normality, meaning they don't work well with distributions that aren't normal. C. The confidence interval methods of this section are robust against departures from normality, meaning they work well with distributions that aren't normal, provided that departures from normality are extreme. D. The confidence interval methods of this section are robust against departures from normality, meaning they work well with distributions that aren't normal, provided that departures from normality are not too extreme. b. Dose the given dotplot appear to satisfy these requirements? A. Yes, because because the dotplot does not resembles a normal distribution and the sample size is fewer than 30. B. No, because the dotplot does not resemble a normal distribution and the sample size is fewer than 30. C. No, because the dotplot resemble a normal distribution and the sample size is greater than 30. D. Yes, because the dotplot resembles a normal distribution and the sample size is greater than 30.

Explanation / Answer

Both the answers are (d)

Fot the first one, the very sence of being robust that even when the assumptions are not met, out results will not be far from the reality. Thus clearly the answer to the first one is (D)

For the second one, as we can see from the dot plot, the distribution is more or less symmetric and also since the sample size is greater that 30, applying Central Limit Theorem we can assume it to be normal and thus the answer will be (D)

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